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Simplifying -4(-2x + 7) + -2x = 2(x + -6) + -6 Reorder the terms: -4(7 + -2x) + -2x = 2(x + -6) + -6 (7 * -4 + -2x * -4) + -2x = 2(x + -6) + -6 (-28 + 8x) + -2x = 2(x + -6) + -6 Combine like terms: 8x + -2x = 6x -28 + 6x = 2(x + -6) + -6 Reorder the terms: -28 + 6x = 2(-6 + x) + -6 -28 + 6x = (-6 * 2 + x * 2) + -6 -28 + 6x = (-12 + 2x) + -6 Reorder the terms: -28 + 6x = -12 + -6 + 2x Combine like terms: -12 + -6 = -18 -28 + 6x = -18 + 2x Solving -28 + 6x = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -28 + 6x + -2x = -18 + 2x + -2x Combine like terms: 6x + -2x = 4x -28 + 4x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 4x = -18 + 0 -28 + 4x = -18 Add '28' to each side of the equation. -28 + 28 + 4x = -18 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = -18 + 28 4x = -18 + 28 Combine like terms: -18 + 28 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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